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Finding the Fourth Proportional to 1,274.67, 1,757.60 and 1,150.29

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Solution

The fourth proportional to 1,274.67, 1,757.60 and 1,150.29 is: 1,586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.67 : 1,757.60 = 1,150.29 : x
  2. Step 2: Convert to fraction form
    1,274.67/1,757.60 = 1,150.29/x
  3. Step 3: Cross multiply
    1,274.67x = 1,757.60 × 1,150.29
  4. Step 4: Simplify right side
    1,274.67x = 2,021,743.95
  5. Step 5: Solve for x
    x = 2,021,743.95/1,274.67
  6. Step 6: Final answer
    x = 1,586.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.